Details

sample60.0ms

Algorithm

intervals

Results

23.0ms	55×	body	1280	valid
11.0ms	48×	body	640	valid
6.0ms	144×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	91×	body	80	nan
2.0ms	16×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.1b	(* x (log (/ x (+ x y))))
6.2b	(log (/ x (+ x y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
203×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
139×	`add-sqr-sqrt`
137×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
33×	`distribute-lft-out`
22×	`associate-/r/`
12×	`div-inv`
11×	`flip3-+` `flip-+`
9×	`add-exp-log`
7×	`pow1` `add-cbrt-cube`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 261

Calls

3 calls:

58.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
25.0ms	(* x (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
77.0ms	(* x (log (/ x (+ x y))))
56.0ms	(log (/ x (+ x y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	795	2914
1	2455	2488
2	5002	2475

prune524.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.5b	(pow (/ x (+ x y)) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
4.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(pow (/ x (+ x y)) x)

series779.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
185.0ms	(cbrt x)
181.0ms	(cbrt x)
234.0ms	(pow (/ x (+ x y)) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	309	383
1	1126	367
2	5001	357

prune242.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

11.0ms

(/ (exp (* -1 y)) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (exp (* -1 y)) x)

simplify48.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune66.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes66.0ms

Accuracy

96.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 9.3b

bsearch76.0ms

Steps

Iters	Range		Point
8	9.180403440793369e-05	0.024130789021135513	0.02388541996603257
9	-2.3564205176291086e+19	-30503464133.596928	-33968180357.56146

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

633.0ms	1513×	body	1280	valid
336.0ms	1410×	body	640	valid
202.0ms	4967×	body	80	valid
120.0ms	795×	body	320	valid
87.0ms	3107×	body	80	nan
45.0ms	453×	body	160	valid